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95468820 = 22357192213
BaseRepresentation
bin1011011000010…
…11110100010100
320122122022121020
411230023310110
5143420000240
613250121140
72236320516
oct554136424
9218568536
1095468820
1149987157
1227b801b0
1316a18235
14c971bb6
1585ac0d0
hex5b0bd14

95468820 has 48 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 25411456.

The previous prime is 95468819. The next prime is 95468831. The reversal of 95468820 is 2886459.

It is a super-2 number, since 2×954688202 = 18228591184384800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42034 + ... + 44246.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 295468820 is an apocalyptic number.

It is an amenable number.

95468820 is an abundant number, since it is smaller than the sum of its proper divisors (172336620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95468820 is a wasteful number, since it uses less digits than its factorization.

95468820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 95468820 is about 9770.8147050284. The cubic root of 95468820 is about 457.0396216846.

The spelling of 95468820 in words is "ninety-five million, four hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 719 1438 2157 2213 2876 3595 4314 4426 6639 7190 8628 8852 10785 11065 13278 14380 21570 22130 26556 33195 43140 44260 66390 132780 1591147 3182294 4773441 6364588 7955735 9546882 15911470 19093764 23867205 31822940 47734410 95468820